Modified Nash triviality of a family of zero-sets of real polynomial mappings

DOI10.5802/aif.1660zbMath0940.14038OpenAlexW2331457864MaRDI QIDQ1272260

Toshizumi Fukui, Masahiro Shiota, Satoshi Koike

Publication date: 29 November 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_5_1395_0

zbMATH Keywords

resolutionmodified Nash trivialityNash isotopy lemmatoric modificationzero sets of real polynomial map-germs

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Semialgebraic sets and related spaces (14P10) Real-analytic and Nash manifolds (58A07) Nash functions and manifolds (14P20) Algebraic and analytic properties of mappings on manifolds (58K20)

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\(h\)-cobordism and \(s\)-cobordism theorems: transfer over semialgebraic and Nash categories, uniform bound and effectiveness ⋮ Virtual Poincaré polynomial of the link of a real algebraic variety ⋮ Blow-analytic equivalence of two variable real analytic function germs ⋮ Simultaneous resolution of singularities in the Nash category: finiteness and effectiveness

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